Este o formula in care [tex]a^{log_{a}^{b} } =b[/tex]
a) 2㏒₂ˣ = x
3㏒₃ˣ =x
x+x <5
2x < 5
x < 5/2
x apartine (0,5/2)
b) x㏒₂ˣ < 32
log₂ (x)² < 5 ridic totul la a 2
| log₂(x) | <V5 si exista doua solutii
log₂(x) < V5 , log₂(x) >/ 0
log₂(x) < V5, log₂(x) < 0
x < 2 la puterea V5, log₂(x) >/ 0
-log₂(x) < V5, log₂(x) < 0
x apartine [1, 2 la puterea V5)
x apartine 1/2 la puterea V5, 1)
in concluzie x apartine (1/ 2 la puterea V5, 2 la puterea V5)